
A Sampler of Riemann-Finsler Geometry
Cambridge University Press
Published on 1. November 2004
Book
Hardback
376 pages
978-0-521-83181-9 (ISBN)
Description
Finsler geometry generalises Riemannian geometry in the same sense that Banach spaces generalise Hilbert spaces. This book presents an expository account of seven important topics in Riemann-Finsler geometry, ones which have undergone significant development but have not had a detailed pedagogical treatment elsewhere. Each article will open the door to an active area of research, and is suitable for a special topics course in graduate-level differential geometry. The contributors consider issues related to volume, geodesics, curvature, complex differential geometry and parametrised jet bundles, and include a variety of instructive examples.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 25 mm
Weight
728 gr
ISBN-13
978-0-521-83181-9 (9780521831819)
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Schweitzer Classification
Persons
Editor
University of Houston
Duke University, North Carolina
University of California, Berkeley
Purdue University, Indiana
Content
Preface; Synopses; 1. Volumes on normed and Finsler spaces J. C. Alverez Paiva and A. C. Thompson; 2. Anisotropic and crystalline mean curvature flow Giovanni Bellettini; 3. Finsler geometry on complex vector bundles Tadashi Aikou; 4. Finsler geometry of holomorphic jet bundles Karen Chandler and Pit-Mann Wong; 5. Ricci and flag curvatures in Finsler geometry David Bao and Colleen Robles; 6. Nonreversible Finsler metrics of positive flag curvature Hans-Bert Rademacher; 7. Landsberg curvature, S-curvature and Riemann curvature Zhongmin Shen; Index.